The prediction of turbulent heat transfer at a reasonable computational cost is a topical issue in computational fluid dynamics. This study addresses the numerical simulation of heat transfer from a circular cylinder in a cross-flow. Simulations were performed at a low sub-critical Reynolds number (Re = 3900) using the Partially-Averaged Navier-Stokes (PANS). Seven ratios of unresolved to total turbulent kinetic energy f_k ranging from 0.15 to 0.7 were considered in order to reveal the influence of physical resolution on the flow and heat transfer statistics. Further, a low Reynolds number approach f_ε = f_k was evaluated for f_k ≥ 0.5. Additionally, simulations using the Large Eddy Simulation (LES) method were conducted on the same computational grids. The low physical resolution (f_k > 0.5) in the PANS simulation at the coarse spatial resolution led to the earlier transition and later separation of the boundary layer which resulted in the overprediction of heat transfer at the rear stagnation point. The low Re approach (f_ε = f_k) provided similar results as the low physical resolution case (f_k = 0.7, f_ε = 1) and spatial refinement did not influence the predicted results. The results of our study indicated the suitability of the PANS for applications involving heat transfer from a bluff body provided an adequate physical resolution level is set.

以合理的计算成本预测湍流传热是计算流体动力学中的一个热门问题。这项研究解决了从交叉流中的圆柱体传热的数值模拟。使用部分平均 Navier-Stokes (PANS) 在低亚临界雷诺数 (Re = 3900) 下进行模拟。为了揭示物理分辨率对流动和传热统计数据的影响，考虑了七个未解析的与总湍流动能f _{k 的}比率，范围从 0.15 到 0.7。此外，对f _k评估了低雷诺数方法f _ε  =  f _k ≥ 0.5。此外，使用大涡模拟 (LES) 方法的模拟是在相同的计算网格上进行的。 PANS 模拟在粗空间分辨率下的低物理分辨率 ( f _k > 0.5) 导致边界层的较早过渡和较晚分离，从而导致对后滞点处传热的高估。低 Re 方法 ( f _ε  =  f _k ) 提供了与低物理分辨率情况 ( f _k  = 0.7, f _ε = 1) 空间细化不影响预测结果。我们的研究结果表明 PANS 适用于涉及从钝体传热的应用，前提是设置了足够的物理分辨率水平。